# Fractional-order Systems and Controls

## Fundamentals and Applications

• Concepción A. Monje
• YangQuan Chen
• Blas M. Vinagre
• Dingyü Xue
• Vicente Feliu
Book

Part of the Advances in Industrial Control book series (AIC)

1. Front Matter
Pages i-xxvi
2. ### Fundamentals of Fractional-order Systems and Controls

1. Front Matter
Pages 1-1
2. Pages 3-8
3. Pages 9-34
4. Pages 35-74
5. Pages 75-84
3. ### Fractional-order PID-Type Controllers

1. Front Matter
Pages 85-85

1. Front Matter
Pages 131-131
2. Pages 133-140
5. ### Other Fractional-order Control Strategies

1. Front Matter
Pages 149-149
2. Pages 151-164
3. Pages 165-188
6. ### Implementations of Fractional-order Controllers: Methods and Tools

1. Front Matter
Pages 189-189
7. ### Real Applications

1. Front Matter
Pages 257-257

### Introduction

Fractional-order Systems and Controls details the use of fractional calculus (calculus of non-integer order) in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems (available by download from www.springer.com/ISBN). The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls introduces its readers – academic and industrial control researchers interested in mechatronics, nonlinear and robust control, and applications fields from civil engineering to biological systems – to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

### Keywords

Analysis MATLAB control engineering mechatronics modeling robot simulation system

#### Authors and affiliations

• Concepción A. Monje
• 1
• YangQuan Chen
• 2
• Blas M. Vinagre
• 3
• Dingyü Xue
• 4
• Vicente Feliu
• 5
2. 2.Department of Electrical and Computer EngineeringUtah State UniversityLoganUSA
4. 4.Faculty of Information Sciences and EngineeringNortheastern UniversityShenyangChina
5. 5.ETS de Ingenieros Industriales, Departamento de Ingeniería Eléctrica, Electrónica, Automática y ComunicacionesUniversidad de Castilla-La ManchaCiudad RealSpain

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-84996-335-0
• Copyright Information Springer-Verlag London 2010
• Publisher Name Springer, London
• eBook Packages Engineering
• Print ISBN 978-1-84996-334-3
• Online ISBN 978-1-84996-335-0
• Series Print ISSN 1430-9491
• Series Online ISSN 2193-1577